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28800436 = 2272146941
BaseRepresentation
bin110110111011…
…1010110110100
32000012012202211
41231313112310
524333103221
62505143204
7466541200
oct155672664
960165684
1028800436
1115291215
12978ab04
135c74ca2
143b79b00
1527dd6e1
hex1b775b4

28800436 has 18 divisors (see below), whose sum is σ = 58629858. Its totient is φ = 12342960.

The previous prime is 28800413. The next prime is 28800461. The reversal of 28800436 is 63400882.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23464336 + 5336100 = 4844^2 + 2310^2 .

It is a super-2 number, since 2×288004362 = 1658930227580192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28800398 and 28800407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73275 + ... + 73666.

Almost surely, 228800436 is an apocalyptic number.

It is an amenable number.

28800436 is an abundant number, since it is smaller than the sum of its proper divisors (29829422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28800436 is a wasteful number, since it uses less digits than its factorization.

28800436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146959 (or 146950 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 28800436 is about 5366.6037677473. The cubic root of 28800436 is about 306.5253197594.

The spelling of 28800436 in words is "twenty-eight million, eight hundred thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 146941 293882 587764 1028587 2057174 4114348 7200109 14400218 28800436